The public library budgeted for fiction, nonfiction, and reference books as follows:
Purchase 500 books each month at a total cost of $19,500.
Purchase 50 more fiction than reference books.
The average cost of fiction books is $30, of nonfiction is $40, and of reference is $50.
(a) Find the number of books the library should buy in each category.
(b) Because the library cannot buy a negative number of books, use the solution to find the maximum and minimum number in each category.
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